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arXiv · 0810.2465

On Normalized Ricci Flow and Smooth Structures on Four-Manifolds with $b^+=1$

Masashi Ishida·Rares Rasdeaconu·Ioana Suvaina
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Abstract

We find an obstruction to the existence of non-singular solutions to the normalized Ricci flow on four-manifolds with $b^+=1$. By using this obstruction, we study the relationship between the existence or non-existence of non-singular solutions of the normalized Ricci flow and exotic smooth structures on the topological 4-manifolds ${\mathbb C}{P}^2 # l \overline{{\mathbb C}{P}^2}$, where $5 \leq l \leq 8$.

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Masashi Ishida, Rares Rasdeaconu, Ioana Suvaina. 2008-10-14. On Normalized Ricci Flow and Smooth Structures on Four-Manifolds with $b^+=1$. https://arxiv.org/abs/0810.2465

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